Crossed modules, double group-groupoids and crossed squares
Category Theory
2021-02-16 v2 Algebraic Topology
Abstract
In this paper using split extensions of group-groupoids we obtain the notion of crossed modules over group-grouoids which are also called 2-groups and we prove a categorical equivalence of these types of crossed modules and double group-groupoids which are internal to the category of group-groupoids. This equivalence enables us to produce more examples of double groupoids.
Cite
@article{arxiv.1802.03978,
title = {Crossed modules, double group-groupoids and crossed squares},
author = {Sedat Temel and Tunçar Şahan and Osman Mucuk},
journal= {arXiv preprint arXiv:1802.03978},
year = {2021}
}
Comments
15 pages, research paper, LaTeX2e, xypic